Centre de Physique Théorique


Friday 1 June 2018

14h00 – 15h00, Amphi 5 du CPT

Geometrical construction of reduced phase spaces

Alberto Cattaneo

The reduced phase space of a field theory is the space of its possible initial conditions endowed with a natural symplectic structure. An alternative to Dirac’s method, relying on natural geometric aspects of variational problems, was introduced by Kijowski and Tulczijev. This method also has the advantage of having a natural generalization in the BV context. In this talk, I will explain the method and describe some examples, focusing in particular on the tetradic version of general relativity in four dimensions.